/* www-ATLAS of Group Representations. M12:2 represented as 55 x 55 matrices over GF(11). */ F:=GF(11); x:=CambridgeMatrix(3,F,55,\[ 0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 4,1,4,0,5,9,1,6,7,0,2,10,5,7,6,2,10,9,1,0,6,9,2,7,5,2,5,9,9,10,5,1,1,5,1,4,6,1,2,8,9,9,3,10,7,0,4,1,2,4,1,7,5,9,1, 8,2,7,5,9,6,2,2,10,7,7,6,3,10,4,0,9,5,9,2,2,2,10,10,9,1,9,10,2,7,7,3,5,5,2,7,7,6,1,8,5,9,8,2,10,6,0,0,2,2,7,4,2,3,1, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 7,5,3,8,0,5,1,3,6,5,7,5,8,1,1,5,6,0,5,9,4,7,3,7,3,7,5,0,5,8,0,1,6,5,6,3,2,5,10,10,7,9,4,1,3,5,1,7,0,3,4,5,6,4,1, 9,4,9,10,4,5,3,4,6,4,3,4,3,0,0,1,2,8,9,7,8,3,6,2,5,8,1,7,7,5,6,10,9,10,8,7,1,9,9,7,1,7,10,0,3,2,3,3,0,2,5,1,7,8,8, 1,10,7,10,8,0,10,2,3,5,6,10,7,0,9,8,1,3,2,8,10,4,4,0,8,6,1,6,8,0,6,7,0,6,6,9,8,7,6,8,9,6,8,1,3,10,2,9,6,10,6,9,8,9,3, 9,2,8,5,1,0,0,7,5,0,0,0,5,0,0,0,0,0,0,0,7,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 7,3,10,9,0,8,9,9,3,6,6,1,7,5,2,10,6,0,5,6,7,3,5,8,10,2,6,0,8,3,1,3,7,0,3,0,4,5,3,2,10,3,8,6,6,9,2,3,9,8,10,6,8,7,4, 7,2,9,4,0,2,10,0,0,1,5,5,1,0,1,0,2,4,7,8,4,4,8,4,0,6,1,10,2,7,2,6,10,6,3,2,6,1,9,5,6,6,2,10,0,1,2,0,5,8,10,4,10,6,5, 5,8,9,2,0,0,4,6,0,10,10,4,4,5,1,4,6,5,5,3,2,7,9,4,8,0,1,1,2,6,8,0,3,9,6,6,9,4,3,5,9,8,5,2,4,7,0,8,1,6,8,3,10,1,9, 8,2,4,1,6,6,4,5,1,2,0,3,1,2,0,3,1,0,3,10,3,10,5,1,8,2,6,9,10,3,1,4,6,2,7,8,4,6,6,3,5,10,2,0,3,0,1,9,4,4,1,3,4,1,9]); G:=MatrixGroup<55,F|x,y>; print "Group G is M12:2 < GL(55,GF(11))";